Find the volume of a regular triangular prism, the height of which is 10 cm, and the side of the base is 5 cm.

univerkov | January 27, 2021 | education

The area of the prism is calculated by the formula: Vpr = 1/3 * Sbase * N.

The prism is correct, therefore an equilateral triangle lies at the base.

Then Sosn. = a * a * √3 / 4, where a is the side of the triangle.

In our case, Sosn. = 5 * 5 * √3 / 4 = 25√3 / 4 (cm2).

Hence, V = 1/3 * 25 * √3 / 4 * 10 = 125√3 / 6 (cm3).

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